didericis 1d981b4d01 Add the freedom-positive counting balance to the constraint floor ...

Remark: a disk with k interior vertices has 2k+n-2 faces (Euler) but only
k interior constraints, so each interior vertex adds two degrees of
freedom against one constraint -- depth is freedom-positive and Phi can
only retain or enlarge below the interior-free floor 2^(n-2). Motivates
the lower bound and replaces the prior TODO sketch.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

2026-06-17 02:24:04 -04:00

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colored_edge_flip_classes

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colored_pentagon_contractions

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coloring_nested_tire_dual_graphs

Move tire coloring transfer to restrictions paper

2026-06-08 15:09:58 -04:00

even_level_graph_generators

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face_monochromatic_pairs

face_mono: extend Conjecture 5.26 to n_G ≤ 22

2026-05-25 12:27:58 -04:00

heawood_restrictions_on_nested_tire_graph_duals

Add the freedom-positive counting balance to the constraint floor

2026-06-17 02:24:04 -04:00

iterated_reduction_in_reduced_dual

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level_resolutions_of_maximal_planar_graphs

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level_switching

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medial_tire_cuts

Draw source-dual cut on a valid straight-line embedding

2026-06-16 03:59:22 -04:00

medial_tire_decompositions_of_plane_triangulations

Handle compound medial tires in cut labelling

2026-06-15 21:46:56 -04:00

nested_tire_decompositions_of_plane_triangulations

Add medial tire decomposition paper

2026-06-08 15:34:53 -04:00

plane_depth

rename: coloring_nested_tire_graphs → coloring_nested_tire_dual_graphs

2026-05-27 00:44:09 -04:00

plane_depth_sequencing

split: extract foundational depth material into new plane_depth paper

2026-05-26 13:49:44 -04:00

plane_diamond_coloring

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three_color_restrictions_nested_tire_graphs

Move tire coloring transfer to restrictions paper

2026-06-08 15:09:58 -04:00